the displacement of a spring vibrating in damped harmonic motion is given by the following equation.

Question

Find the first four times when the spring is at its equilibrium position, y = 0, and starting at time t = 0.

y = 4 e^−5t sin 2πt

Answer 1

Since e^-5t is never zero, the times when y = 0 will be when sin(2π t) is zero. This will happen at

t =0, t = 1/2, t = 1, t = 3/2 etc